258400 has 72 divisors (see below), whose sum is σ = 703080. Its totient is φ = 92160.

The previous prime is 258389. The next prime is 258403. The reversal of 258400 is 4852.

It is a happy number.

258400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13591 + ... + 13609.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2²⁵⁸⁴⁰⁰ is an apocalyptic number.

258400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540).

258400 is an abundant number, since it is smaller than the sum of its proper divisors (444680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258400 is a wasteful number, since it uses less digits than its factorization.

258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 258400 is about 508.3306010856. The cubic root of 258400 is about 63.6938503412.

The spelling of 258400 in words is "two hundred fifty-eight thousand, four hundred".